541440044145 has 192 divisors, whose sum is σ = 1265605286400. Its totient is φ = 206794321920.

The previous prime is 541440044129. The next prime is 541440044147.

541440044145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541440044145 - 2⁴ = 541440044129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (541440044147) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10289061 + ... + 10341549.

It is an arithmetic number, because the mean of its divisors is an integer number (6591694200).

Almost surely, 2^541440044145 is an apocalyptic number.

541440044145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541440044145 is an abundant number, since it is smaller than the sum of its proper divisors (724165242255).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

541440044145 is a wasteful number, since it uses less digits than its factorization.

541440044145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52760 (or 52757 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 5414400 and 44145, that added together give a palindrome (5458545).

The spelling of 541440044145 in words is "five hundred forty-one billion, four hundred forty million, forty-four thousand, one hundred forty-five".